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Analysis of a New Quadratic 3D Chaotic Attractor

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  • Shahed Vahedi
  • Mohd Salmi Md Noorani

Abstract

A new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We finally prove existence of this chaotic attractor theoretically using Shil’nikov theorem and undetermined coefficient method.

Suggested Citation

  • Shahed Vahedi & Mohd Salmi Md Noorani, 2013. "Analysis of a New Quadratic 3D Chaotic Attractor," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:540769
    DOI: 10.1155/2013/540769
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    Cited by:

    1. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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